ON THE LATTICE OF -SUBNORMAL SUBGROUPS OF A FINITE GROUP

DOI10.1017/S0004972717000259zbMath1433.20004MaRDI QIDQ5369401

Alexander N. Skiba, Wen-Bin Guo

Publication date: 17 October 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite groupsnilpotent groupssubnormal subgroupsmodular latticeslattices

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30)

Related Items (6)

On \(\sigma\)-supersoluble groups and one generalization of \textit{CLT}-groups ⋮ A criterion for a finite group to be σ-soluble ⋮ On weakly m-σ-permutable subgroups of finite groups ⋮ Finite groups with σ-Frobenius condition for non-normal σ-primary subgroups ⋮ On semi-σ-nilpotent finite groups ⋮ On \({\Sigma}_t^{\sigma }\)-closed classes of finite groups

Cites Work

• On the lattice of \(\mathcal F\)-subnormal subgroups
• Finite soluble groups
• Subgroup lattices of finite groups which properly contain the lattice of subnormal subgroups
• Subgroup lattices of groups
• Finite groups with permutable complete Wielandt sets of subgroups.
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• On finite groups with σ-subnormal Schmidt subgroups
• Classes of Finite Groups
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